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Finding the Third Proportional to 190,782.50 and 414,368.50

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Solution

The third proportional to 190,782.50 and 414,368.50 is: 899,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,782.50 : 414,368.50 = 414,368.50 : x
  2. Step 2: Convert to fraction form
    190,782.50/414,368.50 = 414,368.50/x
  3. Step 3: Cross multiply
    190,782.50x = 414,368.50 × 414,368.50
  4. Step 4: Simplify right side
    190,782.50x = 171,701,253,792.25
  5. Step 5: Solve for x
    x = 171,701,253,792.25/190,782.50
  6. Step 6: Final answer
    x = 899,984.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.